Resolving security issues with secured shared key discovery(SSD) protocol replacing modified rivest scheme

Privacy Homomorphism, a cryptographic scheme that would allow the third party processing of encrypted data without access to any plaintext or private key information. The Modified Rivest Scheme (MRS) is an additive homomorphic scheme which has been of late used in many applications requiring the third party processing of encrypted data. Hence MRS fits in to be the base encryption scheme for secured shared key discovery(SSD) protocol. The SSD protocol allows each node to find the keys shared with communicating node without revealing the unshared keys. The current work brings out the security lapse where the keys are compromised and adversary has access to the keys owned by the legitimate node. In such a scenario the present study demonstrates that the adversary can compute the private key of the legitimate node causing threat to the security of the entire system. The present study proposes to use SSD protocol with base homomorphic encryption scheme to be Pailliers as an alternative to the shortcoming posed by MRS.